Voß, HeinrichHeinrichVoß2018-02-272018-02-272005-01-01Journal of Applied Mathematics, vol. 2005, no. 1, pp. 37-48, 2005https://doi.org/10.1155/JAM.2005.37http://tubdok.tub.tuhh.de/handle/11420/1558Exploiting minmax characterizations for nonlinear and nonoverdamped eigenvalue problems, we prove the existence of a countable set of eigenvalues converging to ∞ and inclusion theorems for a rational spectral problem governing mechanical vibrations of a tube bundle immersed in an incompressible viscous fluid. The paper demonstrates that the variational characterization of eigenvalues is a powerful tool for studying nonoverdamped eigenproblems, and that the appropriate enumeration of the eigenvalues is of predominant importance, whereas the natural ordering of the eigenvalues may yield false conclusions.Exploiting minmax characterizations for nonlinear and nonoverdamped eigenvalue problems, we prove the existence of a countable set of eigenvalues converging to ∞ and inclusion theorems for a rational spectral problem governing mechanical vibrations of a tube bundle immersed in an incompressible viscous fluid. The paper demonstrates that the variational characterization of eigenvalues is a powerful tool for studying nonoverdamped eigenproblems, and that the appropriate enumeration of the eigenvalues is of predominant importance, whereas the natural ordering of the eigenvalues may yield false conclusions.en1687-00422005Issue 13748Hindawi Publishing Corporationhttps://creativecommons.org/licenses/by/3.0/nonlinear eigenvalue problemeigenvalue boundsminmax principlefluid structure interactionMathematikJournal Article2018-02-26Copyright © 2005 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.urn:nbn:de:gbv:830-882.1875410.15480/882.155511420/155810.1155/JAM.2005.3710.15480/882.1555Journal Article